A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
13th Edition
ISBN: 9780135183885
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans
Publisher: PEARSON
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Textbook Question
Chapter 9.1A, Problem 4A
The spinner shown is spun.
Find the probability of each of the following events.
a. A: the number is a factor of
b. B: the number is a multiple of
c. C: the number is even.
d. D: the number is
e. E: the number is
f. F: the number is composite.
g. G: the number is neither a prime nor a composite.
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The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors (aaii.com, February 2002). Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.
Click on the datafile logo to reference the data.
DATA file
Company
DeWolfe Companies
Exchange
Ticker
Symbol
Market
Cap
($ millions)
Price/
Gross
Profit
Earnings
Ratio
Margin
(%)
AMEX
DWL
36.4
8.4
36.7
North Coast Energy
OTC
NCEB
52.5
6.2
59.3
Hansen Natural Corp.
OTC
HANS
41.1
14.6
44.8
MarineMax, Inc.
NYSE
HZO
111.5
7.2
23.8
Nanometrics Incorporated
OTC
NANO
228.6
38.0
53.3
TeamStaff, Inc.
OTC
TSTF
92.1
33.5
4.1
Environmental Tectonics
AMEX
ETC
51.1
35.8
35.9
Measurement Specialties
AMEX
MSS
101.8
26.8
37.6
SEMCO Energy, Inc.
NYSE
SEN
193.4
18.7
23.6
Party City Corporation
OTC
PCTY
97.2
15.9
36.4
Embrex, Inc.
OTC
EMBX
136.5
18.9
59.5
Tech/Ops Sevcon, Inc.
AMEX
ΤΟ
23.2
20.7
35.7
ARCADIS NV
OTC
ARCAF
173.4…
The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors (aaii.com, February 2002). Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.
Click on the datafile logo to reference the data.
DATA file
Company
DeWolfe Companies
Exchange
AMEX
Ticker
Symbol
Market
Cap
Price/
Gross
Profit
Earnings Margin
($ millions)
Ratio
(%)
DWL
36.4
8.4
36.7
North Coast Energy
OTC
NCEB
52.5
6.2
59.3
Hansen Natural Corp.
OTC
HANS
41.1
14.6
44.8
MarineMax, Inc.
NYSE
HZO
111.5
7.2
23.8
Nanometrics Incorporated
OTC
NANO
228.6
38.0
53.3
TeamStaff, Inc.
OTC
TSTF
92.1
33.5
4.1
Environmental Tectonics
AMEX
ETC
51.1
35.8
35.9
Measurement Specialties
AMEX
MSS
101.8
26.8
37.6
SEMCO Energy, Inc.
NYSE
SEN
193.4
18.7
23.6
Party City Corporation
OTC
PCTY
97.2
15.9
36.4
Embrex, Inc.
OTC
EMBX
136.5
18.9
59.5
Tech/Ops Sevcon, Inc.
AMEX
ΤΟ
23.2
20.7
35.7
ARCADIS NV
OTC
ARCAF
173.4…
The following data show the year to date percent change (YTD % Change) for 30 stock-market indexes from around the word (The Wall Street Journal, August 26, 2013).
a. What index has the largest positive YTD % Change? Round your answer to once decimal place. index with a YTD % Change of %
b. Using a class width of 5 beginning with -20 and going to 40, develop a frequency distribution for the data.
YTD % Change
Frequency
-20 - -15
-15 - -10
-10 - -5
-5 - 0
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
30 - 35
c.
1.
2.
3.
4.
Chapter 9 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Ch. 9.1 - Prob. 1MCCh. 9.1 - Prob. 2MCCh. 9.1 - Prob. 3MCCh. 9.1 - Prob. 4MCCh. 9.1 - Prob. 5MCCh. 9.1 - Prob. 6MCCh. 9.1 - If possible, for each of the following letters,...Ch. 9.1 - Prob. 8MCCh. 9.1 - Jose claims that if the following spinner is spun...Ch. 9.1 - Zoe is playing a game in which she draws one ball...
Ch. 9.1 - Ian and Sophia flip a fair coin ten times and...Ch. 9.1 - A certain game has four mutually exclusive...Ch. 9.1 - Prob. 13MCCh. 9.1 - A student observes the following spinner and...Ch. 9.1 - Prob. 15MCCh. 9.1 - Prob. 16MCCh. 9.1 - Prob. 17MCCh. 9.1 - Board games that use dice sometimes give children...Ch. 9.1 - Suppose the figure in exercise 14 is a is a...Ch. 9.1 - On the School Book Page on page 501, complete the...Ch. 9.1 - Mark has nine shirts in his closet as shown. If...Ch. 9.1 - Ms. Livingstons class spins the arrow on the...Ch. 9.1 - Lori has a choice of two spinners. She wants the...Ch. 9.1 - Each of the 6 faces of a fair cube is painted red,...Ch. 9.1 - Prob. 5NAEPCh. 9.1A - Consider the experiment of drawing a single card...Ch. 9.1A - The experimental probability of rolling a 4 on a...Ch. 9.1A - Each letter of the alphabet is written on a...Ch. 9.1A - The spinner shown is spun. Find the probability of...Ch. 9.1A - A card is selected from a ordinary deck of 52...Ch. 9.1A - Suppose a drawer contains six black socks, four...Ch. 9.1A - Prob. 7ACh. 9.1A - According to a weather report, there is a 30...Ch. 9.1A - A set of dolls is in a packing crate: 17 with...Ch. 9.1A - The plays generally considered the tragedies by...Ch. 9.1A - Prob. 11ACh. 9.1A - Prob. 12ACh. 9.1A - A calculus class is composed of 35 men and 45...Ch. 9.1A - A box contains five white balls, three black balls...Ch. 9.1A - Prob. 16ACh. 9.1A - If you flipped a fair coin 15 times and got 15...Ch. 9.1A - A witness identified all the digits on a license...Ch. 9.1A - Prob. 20ACh. 9.1A - If A and B are mutually exclusive, P(A)=0.3, and...Ch. 9.1A - How many times would you except to obtain a 4 on a...Ch. 9.1B - Prob. 1ACh. 9.1B - Prob. 2ACh. 9.1B - In each of the following scenarios, sketch a...Ch. 9.1B - Prob. 4ACh. 9.1B - Prob. 5ACh. 9.1B - Prob. 6ACh. 9.1B - Prob. 7ACh. 9.1B - Prob. 8ACh. 9.1B - Prob. 9ACh. 9.1B - Prob. 10ACh. 9.1B - Prob. 11ACh. 9.1B - Prob. 12ACh. 9.1B - Prob. 13ACh. 9.1B - Prob. 14ACh. 9.1B - Prob. 17ACh. 9.1B - What is the probability of choosing a continent at...Ch. 9.1B - Prob. 20ACh. 9.1B - Prob. 21ACh. 9.1B - How many times would you except to obtain a 6 on a...Ch. 9.2 - Six fair dice are thrown at the same time. If...Ch. 9.2 - A witness to a crime observed that the criminal...Ch. 9.2 - You are given three white balls, one red ball, and...Ch. 9.2 - Prob. 4MCCh. 9.2 - Prob. 5MCCh. 9.2 - Make up a game in which the players have an equal...Ch. 9.2 - How can the faces of two cubes be numbered so that...Ch. 9.2 - Mathematical Connections Design a pair of...Ch. 9.2 - An experiment consists of tossing a fair coin...Ch. 9.2 - Prob. 11MCCh. 9.2 - A student would like to know the difference...Ch. 9.2 - In response to the question, If a fair die is...Ch. 9.2 - A student is not sure when to add and when to...Ch. 9.2 - There are two boxes with different-colored balls....Ch. 9.2 - Alberto is to spin the spinners shown and compute...Ch. 9.2 - Match the following phrase to the probability that...Ch. 9.2 - A date in the month of April is chosen at random....Ch. 9.2 - Three men were walking down a street talking when...Ch. 9.2 - A roulette wheel has 38 slots around the rim; 36...Ch. 9.2 - If the roulette wheel in exercise 21 is spun 190...Ch. 9.2 - Prob. 1NAEPCh. 9.2 - Prob. 2NAEPCh. 9.2 - Prob. 3NAEPCh. 9.2 - National Assessment of Educational Progress NAEP...Ch. 9.2A - Assessment A pair of fair dice is rolled. Find the...Ch. 9.2A - Assessment a. A box contains three white balls and...Ch. 9.2A - Prob. 4ACh. 9.2A - An executive committee consisted of 10 members: 4...Ch. 9.2A - Assume the probability is 12 that a child born at...Ch. 9.2A - Prob. 7ACh. 9.2A - Assessment You roll a die twice and take the...Ch. 9.2A - Prob. 9ACh. 9.2A - If a person takes a five-question true-false test,...Ch. 9.2A - Assessment Rattlesnake and Paxson Colleges play...Ch. 9.2A - Consider the following dartboard where all...Ch. 9.2A - Prob. 13ACh. 9.2A - There are 40 employees in a certain firm. We know...Ch. 9.2A - Prob. 15ACh. 9.2A - When you toss a quarter 4 times, what is the...Ch. 9.2A - Prob. 17ACh. 9.2A - Prob. 18ACh. 9.2A - Prob. 19ACh. 9.2A - A bag contain 3 blue marbles, 4 red marbles, and 3...Ch. 9.2A - Assessment You roll a die twice. a. The sum of the...Ch. 9.2A - Prob. 22ACh. 9.2A - Prob. 23ACh. 9.2A - Prob. 24ACh. 9.2A - Following are three boxes containing balls. Draw a...Ch. 9.2B - Prob. 1ACh. 9.2B - Prob. 3ACh. 9.2B - Prob. 4ACh. 9.2B - Prob. 5ACh. 9.2B - Prob. 6ACh. 9.2B - Prob. 11ACh. 9.2B - Prob. 13ACh. 9.2B - Prob. 14ACh. 9.2B - A husband and wife discover that there is a 10...Ch. 9.2B - Prob. 16ACh. 9.2B - Prob. 17ACh. 9.2B - Prob. 21ACh. 9.2B - Prob. 22ACh. 9.2B - Assessment At her favorite coffee shop, Ashaunte...Ch. 9.2B - Assessment In box number 1, there are 4 blue...Ch. 9.3 - Prob. 1MCCh. 9.3 - Prob. 2MCCh. 9.3 - A game involves tossing two coins. A player wins...Ch. 9.3 - Prob. 4MCCh. 9.3 - Suppose we toss two fair coins. Design a fair game...Ch. 9.3 - Prob. 8MCCh. 9.3 - Prob. 9MCCh. 9.3 - At the beginning of this season, the odds listed...Ch. 9.3 - Prob. 11MCCh. 9.3 - Prob. 13MCCh. 9.3 - Prob. 14MCCh. 9.3 - Prob. 15MCCh. 9.3 - Prob. 16MCCh. 9.3 - Prob. 17MCCh. 9.3 - Prob. 18MCCh. 9.3 - Prob. 19MCCh. 9.3 - Prob. 20MCCh. 9.3 - Prob. 21MCCh. 9.3 - From a sack containing seven red marbles, eight...Ch. 9.3 - Prob. 23MCCh. 9.3 - Prob. 24MCCh. 9.3 - Prob. 25MCCh. 9.3 - Prob. 26MCCh. 9.3A - Could we use a thumb tack to simulate the birth of...Ch. 9.3A - Prob. 2ACh. 9.3A - Prob. 4ACh. 9.3A - Prob. 5ACh. 9.3A - Prob. 6ACh. 9.3A - Pick a block of two digits from the random-number...Ch. 9.3A - Prob. 8ACh. 9.3A - Prob. 10ACh. 9.3A - Prob. 11ACh. 9.3A - Prob. 12ACh. 9.3A - If the probability of a boys being born is 12, and...Ch. 9.3A - If the odds against Deborahs winning first prize...Ch. 9.3A - If the probability of the event that a randomly...Ch. 9.3A - Prob. 16ACh. 9.3A - Prob. 17ACh. 9.3A - Prob. 18ACh. 9.3A - Prob. 19ACh. 9.3A - Prob. 20ACh. 9.3A - Prob. 21ACh. 9.3A - Determine each of the following. a. What are the...Ch. 9.3A - Suppose five quarters, five dimes, fives nickels,...Ch. 9.3A - If the odds in favor of Fast Leg winning a horse...Ch. 9.3A - Prob. 25ACh. 9.3A - Carina is playing a game that costs 10 to play....Ch. 9.3A - Prob. 27ACh. 9.3A - Assessment If the probability of spilling soup on...Ch. 9.3A - Assessment A bag of grass seed is advertised as...Ch. 9.3A - Suppose you invented a game based on taking the...Ch. 9.3B - How could we use a spinner as shown below to...Ch. 9.3B - How could we use a random-digit generator or...Ch. 9.3B - Prob. 3ACh. 9.3B - Prob. 4ACh. 9.3B - Prob. 5ACh. 9.3B - Use a random-number table to estimate the...Ch. 9.3B - Prob. 10ACh. 9.3B - Prob. 11ACh. 9.3B - Prob. 12ACh. 9.3B - Prob. 13ACh. 9.3B - Prob. 14ACh. 9.3B - Two dice are rolled; find the odds against rolling...Ch. 9.3B - a. What are the odds in favor of randomly drawing...Ch. 9.3B - The probability that a person passes a test is 75....Ch. 9.3B - Prob. 18ACh. 9.3B - Prob. 19ACh. 9.3B - Determine each of the following. a. What are the...Ch. 9.3B - Prob. 21ACh. 9.3B - On a roulette wheel, half of the slots numbered 1...Ch. 9.3B - Suppose someone was playing the following dice...Ch. 9.3B - Suppose a standard six-sided die is rolled and you...Ch. 9.3B - Prob. 26ACh. 9.3B - Prob. 27ACh. 9.3B - Prob. 28ACh. 9.3B - Prob. 29ACh. 9.3B - Dean is playing a game that costs 10 to play. He...Ch. 9.4 - The terms Fundamental Counting Principle,...Ch. 9.4 - A bicycle lock has three reels, each of which...Ch. 9.4 - In how many ways can five couples be seated in a...Ch. 9.4 - Prob. 5MCCh. 9.4 - Prob. 6MCCh. 9.4 - Prob. 7MCCh. 9.4 - Prob. 8MCCh. 9.4 - Combination locks are poorly named, mainly because...Ch. 9.4 - A student does not understand the meaning of 4P0 ....Ch. 9.4 - Prob. 11MCCh. 9.4 - Prob. 12MCCh. 9.4 - Prob. 13MCCh. 9.4 - If two regular dice are tossed, what is...Ch. 9.4 - On a roulette wheel, the probability of the event...Ch. 9.4 - Prob. 1NAEPCh. 9.4 - Prob. 2NAEPCh. 9.4A - Prob. 1ACh. 9.4A - Prob. 2ACh. 9.4A - The eighth grade class at a grade school has 16...Ch. 9.4A - Prob. 4ACh. 9.4A - Carlins Pizza House offer 3 kinds of salad, 15...Ch. 9.4A - Prob. 6ACh. 9.4A - Find the number of ways to arrange the letter in...Ch. 9.4A - Prob. 8ACh. 9.4A - Assume a class has 30 members a. In how many ways...Ch. 9.4A - Prob. 10ACh. 9.4A - At a party, 28 handshakes took place. Each person...Ch. 9.4A - Prob. 12ACh. 9.4A - Postal codes in Canada consist of three letters...Ch. 9.4A - Baskin-Robbins advertises 31 flavors of ice cream....Ch. 9.4A - Prob. 15ACh. 9.4A - Prob. 16ACh. 9.4A - Prob. 17ACh. 9.4A - A five-volume numbered set of books is placed...Ch. 9.4A - Prob. 19ACh. 9.4A - Prob. 20ACh. 9.4A - From a group of 10 boys and 12 girls, a committee...Ch. 9.4A - From a group 20 Britons, 21 Italians, and 4 Danes,...Ch. 9.4A - Prob. 23ACh. 9.4A - A company is setting up four-digit ID numbers for...Ch. 9.4A - Your English teacher asks that you read any three...Ch. 9.4A - Prob. 26ACh. 9.4B - Prob. 1ACh. 9.4B - Prob. 2ACh. 9.4B - Assessment Radio stations in the United States...Ch. 9.4B - Prob. 5ACh. 9.4B - Find the number of ways to arrange the letters in...Ch. 9.4B - Prob. 7ACh. 9.4B - Prob. 8ACh. 9.4B - Prob. 10ACh. 9.4B - How many different 12-person juries can be...Ch. 9.4B - Prob. 12ACh. 9.4B - A club selects an executive committee of 5 and...Ch. 9.4B - Prob. 18ACh. 9.4B - A committee of three people is selected at random...Ch. 9.4B - Prob. 20ACh. 9.4B - Prob. 21ACh. 9.4B - Jackson has 20 books, but has space for only 12 on...Ch. 9.4B - Prob. 23ACh. 9.4B - In how many ways can a group of 9 people stand in...Ch. 9.4B - How many arrangements can be made from the letters...Ch. 9.CR - Prob. 1CRCh. 9.CR - Prob. 2CRCh. 9.CR - Prob. 3CRCh. 9.CR - Art works as a clown on weekends. He has three...Ch. 9.CR - Prob. 5CRCh. 9.CR - Prob. 6CRCh. 9.CR - Prob. 7CRCh. 9.CR - Prob. 8CRCh. 9.CR - Prob. 9CRCh. 9.CR - Prob. 10CRCh. 9.CR - Prob. 11CRCh. 9.CR - Prob. 12CRCh. 9.CR - Prob. 13CRCh. 9.CR - A game consists of rolling two dice. Rolling...Ch. 9.CR - Prob. 15CRCh. 9.CR - In a special raffle, a ticket costs 2. You mark...Ch. 9.CR - Prob. 17CRCh. 9.CR - Prob. 18CRCh. 9.CR - Prob. 19CRCh. 9.CR - Prob. 20CRCh. 9.CR - Prob. 21CRCh. 9.CR - Prob. 22CRCh. 9.CR - Prob. 23CRCh. 9.CR - Prob. 24CRCh. 9.CR - Prob. 25CRCh. 9.CR - Prob. 26CRCh. 9.CR - Prob. 28CRCh. 9.CR - Suppose you spin a spinner and then roll a die....Ch. 9.CR - Prob. 30CRCh. 9.CR - Prob. 31CRCh. 9.CR - Prob. 32CRCh. 9.CR - Prob. 33CRCh. 9.CR - Prob. 34CRCh. 9.CR - Prob. 35CRCh. 9.CR - Prob. 36CRCh. 9.CR - Prob. 37CRCh. 9.CR - Prob. 38CRCh. 9.CR - Prob. 39CRCh. 9 - Now Try This Use StatCrunch or another coin...Ch. 9 - NOW TRY THIS a. In an experiment of tossing a fair...Ch. 9 - Prob. 4NTCh. 9 - Prob. 6NTCh. 9 - Prob. 7NTCh. 9 - Prob. 8NTCh. 9 - Prob. 9NT
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- The following data show the year to date percent change (YTD % Change) for 30 stock-market indexes from around the word (The Wall Street Journal, August 26, 2013). Click on the datafile logo to reference the data. DATA file Country Australia Index S&P/ASX200 YTD % Change 10.2 Belgium Bel-20 12.6 Brazil São Paulo Bovespa -14.4 Canada S&P/TSX Comp 2.6 Chile Santiago IPSA -16.3 China Shanghai Composite -9.3 Eurozone EURO Stoxx 10.0 France CAC 40 11.8 Germany DAX 10.6 Hong Kong Hang Seng -3.5 India S&P BSE Sensex -4.7 Israel Tel Aviv 1.3 Italy FTSE MIB 6.6 Japan Nikkei 31.4 Mexico IPC All-Share -6.4 Netherlands AEX 9.3 Singapore Straits Times -2.5 South Korea Kospi -6.4 Spain IBEX 35 6.4 Sweden Switzerland SX All Share 13.8 Swiss Market 17.4 Taiwan Weighted 2.3 U.K. FTSE 100 10.1 U.S. S&P 500 16.6 U.S. DJIA 14.5 U.S. Dow Jones Utility 6.6 U.S. Nasdaq 100 17.4 U.S. Nasdaq Composite 21.1 World DJ Global ex U.S. 4.2 World DJ Global Index 9.9 a. What index has the largest positive YTD %…arrow_forwardWhat is the domain, range, increasing intervals (theres 3), decreasing intervals, roots, y-intercepts, end behavior (approaches four times), leading coffiencent status (is it negative, positivie?) the degress status (zero, undifined etc ), the absolute max, is there a absolute minimum, relative minimum, relative maximum, the root is that has a multiplicity of 2, the multiplicity of 3.arrow_forwardWhat is the vertex, axis of symmerty, all of the solutions, all of the end behaviors, the increasing interval, the decreasing interval, describe all of the transformations that have occurred EXAMPLE Vertical shrink/compression (wider). or Vertical translation down, the domain and range of this graph EXAMPLE Domain: x ≤ -1 Range: y ≥ -4.arrow_forward
- use a graphing utility to sketch the graph of the function and then use the graph to help identify or approximate the domain and range of the function. f(x)= x*sqrt(9-(x^2))arrow_forwarduse a graphing utility to sketch the graph of the function and then use the graph to help identify or approximate the domain and range of the function. f(x)=xsqrt(9-(x^2))arrow_forward4. Select all of the solutions for x²+x - 12 = 0? A. -12 B. -4 C. -3 D. 3 E 4 F 12 4 of 10arrow_forward
- 2. Select all of the polynomials with the degree of 7. A. h(x) = (4x + 2)³(x − 7)(3x + 1)4 B h(x) = (x + 7)³(2x + 1)^(6x − 5)² ☐ Ch(x)=(3x² + 9)(x + 4)(8x + 2)ª h(x) = (x + 6)²(9x + 2) (x − 3) h(x)=(-x-7)² (x + 8)²(7x + 4)³ Scroll down to see more 2 of 10arrow_forward1. If all of the zeros for a polynomial are included in the graph, which polynomial could the graph represent? 100 -6 -2 0 2 100 200arrow_forward3. Select the polynomial that matches the description given: Zero at 4 with multiplicity 3 Zero at −1 with multiplicity 2 Zero at -10 with multiplicity 1 Zero at 5 with multiplicity 5 ○ A. P(x) = (x − 4)³(x + 1)²(x + 10)(x — 5)³ B - P(x) = (x + 4)³(x − 1)²(x − 10)(x + 5)³ ○ ° P(x) = (1 − 3)'(x + 2)(x + 1)"'" (x — 5)³ 51 P(r) = (x-4)³(x − 1)(x + 10)(x − 5 3 of 10arrow_forward
- Match the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²arrow_forwardWhat is the vertex, increasing interval, decreasing interval, domain, range, root/solution/zero, and the end behavior?arrow_forwardCalculate a (bxc) where a = i, b = j, and c = k.arrow_forward
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